Stationary squeezed states in the generalized two-mode two-boson model

Eugene K. Bashkirov

Eugene K. Bashkirov, O. I. Kurganova

Initial conditions corresponding to the stationary evolution of a two-mode two-boson model with interaction between modes and self- action in one of them have been considered. On this basis the possibility of the steady squeezing for both Bose fields has been established. The estimations of the squeezing parameters have been obtained.

R. F. Bishop, Apostol Vourdas

Hugo Molinares, Bing He, Vitalie Eremeev

We present a systematic study on the effects of dynamical transfer and steady-state synchronization of quantum states in a hybrid optomechanical network consisting of two cavities, which carry atoms inside and interact via a common moving mirror such as the mechanical oscillator. It is found that a high fidelity transfer of Schrödinger’s cat and squeezed states between two cavities modes is possible. On the other hand, we demonstrate the synchronization effect of the cavity modes in a steady squeezed state with its high fidelity realized by the mechanical oscillator that intermediates the generation, transfer and stabilization of the squeezing. In this framework, we also study the generation and evolution of bipartite and tripartite entanglement and find its connection to the effects of quantum state transfer and synchronization. Particularly, when the transfer occurs at the maximal fidelity, any entanglement is almost zero, so the different cavity modes are disentangled. However, these modes become entangled when the two bosonic modes are synchronized in a stationary squeezed state. The results provided by the current study may find applications in quantum information technologies, in addition to the setups for metrology, where squeezed states are essential.

Zhang, Xue, Zheng Zheng +2 more

Özgür Esat Müstecaplıoğlu, Mei Zhang, Li You

We analyze quantum correlation properties of a spinor-1 $(f=1)$ Bose-Einstein condensate using the Gell-Mann realization of SU(3) symmetry. We show that previously discussed phenomena of condensate fragmentation and spin mixing can be explained in terms of the hypercharge symmetry. The ground state of a spinor-1 condensate is found to be fragmented for ferromagnetic interactions. The notion of two-bosonic-mode squeezing is generalized to the two-spin $(U\ensuremath{-}V)$ squeezing within the SU(3) formalism. Spin squeezing in the isospin subspace (T) is found and is numerically investigated. We also provide results for the stationary states of spinor-1 condensates.